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the graph of the absolute value parent function, f(x) = |x|, is stretched horizontally by a factor of 5 to create the graph of g(x). what is the function of g(x)?


a. g(x) = |x+5|
b. g(x) = |1/5 x|
c. g(x) = |5x|
d. g(x) = 5 |x|

Respuesta :

Answer: I’m thinking the answer is B

Step-by-step explanation:

MrRoyal

Transformations are used to move a function from one position to another. The function of g(x) is [tex]g(x) = |\frac x5|[/tex]

Given that:

[tex]f(x) = |x|[/tex]

The rule of a horizontal stretch by factor k is:

[tex](x,y) \to (\frac xk,y)[/tex]

This means that:

[tex]g(x) = f(\frac xk)[/tex]

In this case, [tex]k = 5[/tex]

So, we have:

[tex]g(x) = f(\frac x5)[/tex]

Calculate [tex]f(\frac x5)[/tex]

[tex]f(\frac x5) = |\frac x5|[/tex]

Hence, the function of g(x) is

[tex]g(x) = |\frac x5|[/tex]

Read more about function transformation at:

brainly.com/question/12865301

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